Math, asked by harshikakamboj666, 9 months ago

if y=xlogy prove that dy÷dx= ysquare÷x(y-x)

Answers

Answered by azizalasha
6

Answer:

proved

Step-by-step explanation:

If y=xlogy prove that dy÷dx= ysquare÷x(y-x)

​If y=xlogy prove that dy÷dx= y²÷x(y-x)

y=xlogy

y' = logy + xy'/y

y'(1-x/y) = logy = y/x

y'(y-x)/y = y/x

y'(y-x) = y²/x

y' = y²÷ x(y-x)

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